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Finding the Fourth Proportional to 344.59, 475.79 and 234.02

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Solution

The fourth proportional to 344.59, 475.79 and 234.02 is: 323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.59 : 475.79 = 234.02 : x
  2. Step 2: Convert to fraction form
    344.59/475.79 = 234.02/x
  3. Step 3: Cross multiply
    344.59x = 475.79 × 234.02
  4. Step 4: Simplify right side
    344.59x = 111,344.40
  5. Step 5: Solve for x
    x = 111,344.40/344.59
  6. Step 6: Final answer
    x = 323.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.